Let Q(x) = 35x²7x27x3 + 18x1x2 + 18x1x3 − 18x2x3. Find a unit vector x in R³ whose first entry is positive at which Q(x) is minimized, subject to xx = 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 2, -19, and 38.]

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